13 citations · 40 across the 18 of their papers we have counts for
4 papers · 1 filter
The buckling eigenvalue problem in the annulus
Davide Buoso, Enea Parini
We consider the buckling eigenvalue problem for a clamped plate in the annulus. We identify the first eigenvalue in dependence of the inner radius, and study the number of nodal do…
Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles
D. Buoso, P. Freitas
We study the behaviour of extremal eigenvalues of the Dirichlet biharmonic operator over rectangles with a given fixed area. We begin by proving that the principal eigenvalue is mi…
On the behaviour of clamped plates under large compression
P. R. S. Antunes, D. Buoso, P. Freitas
We determine the asymptotic behaviour of eigenvalues of clamped plates under large compression, by relating this problem to eigenvalues of the Laplacian with Robin boundary conditi…
Semiclassical bounds for spectra of biharmonic operators
Davide Buoso, Luigi Provenzano, Joachim Stubbe
We provide complementary semiclassical bounds for the Riesz means of the eigenvalues of various biharmonic operators, with a second term in the expected power of . The…